Analysis of Electromagnetic Thrust Characteristics of Magnetic Circuit Complementary Transverse Flux Switching Linear Motor
Fu Dongshan1, Wu Kangyi1, Zheng Ping2, Wang Xiangrui1, Wu Xiaojie1
1. School of Electrical Engineering China University of Mining and Technology Xuzhou 221116 China; 2. School of Electrical Engineering and Automation Harbin Institute of Technology Harbin 150001 China
Abstract：Owing to cogging effect, end effect and armature current harmonic, the high electromagnetic thrust ripple is inevitable in permanent magnet linear motor with an iron core, which directly influences the accuracy and smoothness of a linear machine in operating. This paper studies the electromagnetic thrust characteristics based on a flux-switching transverse flux permanent magnet linear motor with a complementary magnetic circuit. Firstly, the magnetic field distribution is analyzed by the equivalent magnetic road method, and the electromagnetic characteristics of the equal magnetic potential in the secondary of the motor are verified. Secondly, based on the air-gap magnetomotive force-permeability analysis method, the cogging thrust is suppressed under the complementary magnetic circuit condition, which realizes the non-cogging effect in the permanent magnet linear motor with the iron core. Then, the Schwarz-Christoffel transform model is proposed to analyze the electromagnetic thrust characteristics based on the air-gap magnetic felid distribution, and an analytical expression of electromagnetic thrust is derived. At last, experiments about no load-induced electromotive force and electromagnetic thrust are carried out to verify the proposed theoretical analysis model.
[1] 王立俊, 赵吉文, 董菲, 等. 基于自适应内模观测器的永磁同步直线电机高带宽强鲁棒预测电流控制策略研究[J]. 中国电机工程学报, 2019, 39(10): 3098-3106. Wang Lijun, Zhao Jiwen, Dong Fei, et al.High- bandwidth and strong robust predictive current control strategy research for permanent-magnet synchronous linear motor based on adaptive internal model observer[J]. Proceedings of the CSEE, 2019, 39(10): 3098-3106. [2] Tan Qiang, Wang Mingyi, Li Liyi, et al.Research on noninteger pole number for segmental permanent magnet linear synchronous motor[J]. IEEE Transa- ctions on Industrial Electronics, 2021, 68(5): 4120-4130. [3] 兰志勇, 谢斌, 祝涤非, 等. 基于Ⅴ型三段磁极错位削弱永磁直线电机推力波动的方法[J]. 电工技术学报, 2021, 36(16): 3474-3482. Lan Zhiyong, Xie Bin, Zhu Difei, et al.Method for weakening thrust fluctuation of permanent magnet linear motor based on Ⅴ-shaped three-stage magnetic pole misalignment[J]. Transactions of China Elec- trotechnical Society, 2021, 36(16): 3474-3482. [4] 许孝卓, 孙震, 汪旭东, 等. Halbach交替极永磁同步直线电机特性分析[J]. 电工技术学报, 2019, 34(9): 1825-1833. Xu Xiaozhuo, Sun Zhen, Wang Xudong, et al.Characteristic of a novel permanent magnet linear synchronous motor with Halbach array consequent- pole[J]. Transactions of China Electrotechnical Society, 2019, 34(9): 1825-1833. [5] 夏加宽, 沈丽, 彭兵, 等. 磁极错位削弱永磁直线伺服电动机齿槽法向力波动方法[J]. 电工技术学报, 2015, 30(24): 11-16, 37. Xia Jiakuan, Shen Li, Peng Bing, et al.The magnet-staggered method to weaken the cogging effect normal force ripple of permanent magnet linear servo motor[J]. Transactions of China Electro- technical Society, 2015, 30(24): 11-16, 37. [6] Huang Xuzhen, Yu Hanchuan, Zhou Bo, et al.Detent-force minimization of double-sided permanent magnet linear synchronous motor by shifting one of the primary components[J]. IEEE Transactions on Industrial Electronics, 2020, 67(1): 180-191. [7] Zhao Jing, Mou Quansong, Guo Keyu, et al.Reduction of the detent force in a flux-switching permanent magnet linear motor[J]. IEEE Transactions on Energy Conversion, 2019, 34(3): 1695-1705. [8] Chi Song, Yan Jianhu, Shan Liang, et al.Detent force minimizing for moving-magnet-type linear synchronous motor[J]. IEEE Transactions on Magnetics, 2019, 55(6): 1-5. [9] 张邦富, 程明, 王飒飒, 等. 基于改进型代理模型优化算法的磁通切换永磁直线电机优化设计[J]. 电工技术学报, 2020, 35(5): 1013-1021. Zhang Bangfu, Cheng Ming, Wang Sasa, et al.Optimal design of flux-switching permanent magnet linear machine based on improved surrogate-based optimization algorithm[J]. Transactions of China Electrotechnical Society, 2020, 35(5): 1013-1021. [10] 李雄松, 崔鹤松, 胡纯福, 等. 平板型永磁直线同步电机推力特性的优化设计[J]. 电工技术学报, 2021, 36(5): 916-923. Li Xiongsong, Cui Hesong, Hu Chunfu, et al.Optimal design of thrust characteristics of flat-type permanent magnet linear synchronous motor[J]. Transactions of China Electrotechnical Society, 2021, 36(5): 916-923. [11] 蒋钱, 卢琴芬, 李焱鑫. 双三相永磁直线同步电机的推力波动及抑制[J]. 电工技术学报, 2021, 36(5): 883-892. Jiang Qian, Lu Qinfen, Li Yanxin.Thrust ripple and depression method of dual three-phase permanent magnet linear synchronous motors[J]. Transactions of China Electrotechnical Society, 2021, 36(5): 883-892. [12] Zhang Zongsheng, Tang Xu, Zhang Chao, et al.Comparative study on modular longitudinal and transverse flux-switching permanent magnet linear motor[J]. IEEE Transactions on Energy Conversion, 2020, 35(1): 33-42. [13] Zhao Xing, Niu Shuangxia.Development of a novel transverse flux tubular linear machine with parallel and complementary PM magnetic circuit for precision industrial processing[J]. IEEE Transactions on Industrial Electronics, 2019, 66(6): 4945-4955. [14] Li Zhenghao, Zhao Xing, Niu Shuangxia, et al.Analysis and design of a new relieving-DC-saturation transverse-flux tubular motor with complementary magnetic circuit[J]. IEEE Transactions on Magnetics, 2021, 57(6): 1-5. [15] 寇宝泉, 杨国龙, 李鹏, 等. 双向交链横向磁通圆筒型直线永磁同步电机的基础研究[J]. 中国电机工程学报, 2012, 32(36): 61-67, 13. Kou Baoquan, Yang Guolong, Li Peng, et al.Basic research on bidirectional crosslinking transverse flux tubular linear permanent magnet synchronous motors[J]. Proceedings of the CSEE, 2012, 32(36): 61-67, 13. [16] 寇宝泉, 杨国龙, 周维正, 等. 双向交链横向磁通平板型永磁直线同步电机[J]. 中国电机工程学报, 2012, 32(33): 75-81, 178. Kou Baoquan, Yang Guolong, Zhou Weizheng, et al.Bidirectional crosslinking transverse flux flat type permanent magnet linear synchronous motor[J]. Proceedings of the CSEE, 2012, 32(33): 75-81, 178. [17] 付东山, 贾泽宇, 吴富强, 等. 新型斜气隙圆筒型横向磁通切换直线电机及其建模分析[J]. 中国电机工程学报, 2022, 42(15): 5706-5719. Fu Dongshan, Jia Zeyu, Wu Fuqiang, et al.Novel oblique air-gap tubular transverse flux switching permanent magnet linear motors and its modeling analysis[J]. Proceedings of the CSEE, 2022, 42(15): 5706-5719. [18] 崔鹏, 张锟, 李杰. 基于许-克变换的悬浮电磁铁力与转矩解析计算[J]. 中国电机工程学报, 2010, 30(24): 129-134. Cui Peng, Zhang Kun, Li Jie.Calculation of electro- magnetic force and torque of suspension electro- magnet based on Schwarz-Christoffel transform[J]. Proceedings of the CSEE, 2010, 30(24): 129-134. [19] Zeng Lizhan, Chen Xuedong, Li Xiaoqing, et al.A thrust force analysis method for permanent magnet linear motor using Schwarz-Christoffel mapping and considering slotting effect, end effect, and magnet shape[J]. IEEE Transactions on Magnetics, 2015, 51(9): 1-9. [20] 吴红星. 开关磁阻电机系统理论与控制技术[M]. 北京: 中国电力出版社, 2010.
2022, Vol. 37 
